I think you'll find that a kick coil is simpler than an induction coil : its
just a single coil on a soft iron core, with an interrupter assembly. The
coil works by creating peaks of HV as the interrupter opens and the field
collapses.
("The Amateur Scientist" C.L.Stong, had full details for an Oudin coil
outfit)
Regards
Chris
cdobson-at-microtech-dot-com.au
Riana, TAS